Greatest Common Factor of 482/76, 165/82, 615/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 482/76, 165/82, 615/44

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 482/76,165/82,615/44

Given fractions are 482/76,165/82,615/44

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 482,165,615

Greatest Common Factor of Numerators i.e. GCF of 482,165,615 is 1 .

LCM of Denominators means LCM of 76,82,44 as per the given fractions.

LCM of 76,82,44 is 34276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 482,165,615

GCF of Fractions 482/76,165/82,615/44 is 1/34276

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 482,165,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,165,615 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 482,165,615 . The biggest common factor number is the GCF number.
So the greatest common factor 482,165,615 is 1.

Lets's calculate LCM of 76,82,44

2 76, 82, 44
2 38, 41, 22
19, 41, 11

∴ So the LCM of the given numbers is 2 x 2 x 19 x 41 x 11 = 34276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34276

Therefore, the GCF of Fractions 482/76,165/82,615/44 is 1/34276

Least Common Multiple of 76,82,44 with GCF Formula

Least Common Multiple of 76,82,44 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 76,82,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,82,44) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,82,44) x common factors =2 x 4 = 8

LCM(76,82,44) = ( 76 × 82 × 44 ) / 8

LCM(76,82,44) = 274208 / 8

LCM(76,82,44) = 34276


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 482/76, 165/82, 615/44

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 482/76, 165/82, 615/44?

Answer: GCF of Numerators as per given numbers 482/76, 165/82, 615/44 is

GCF of Numerators i.e. for 482,165,615 is 1

LCM of denominators i.e. for 76,82,44 is 34276.

Thus, GCF of Fractions is 1/34276.Finally, GCF of Fractions for 482/76, 165/82, 615/44 is 1/34276.